Cremona's table of elliptic curves

4263 = 3 · 7² · 29

Field	Data	Notes
Atkin-Lehner	3- 7- 29-	Signs for the Atkin-Lehner involutions
Class	4263g	Isogeny class
Conductor	4263	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	2166862573128302721 = 312 · 78 · 294	Discriminant
Eigenvalues	-1 3-  2 7-  4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-638667,-183296520]	[a1,a2,a3,a4,a6]
j	244883173420511137/18418027974129	j-invariant
L	2.0362102665467	L(r)(E,1)/r!
Ω	0.16968418887889	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	68208bw3 12789f3 106575r3 609b3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4263g4

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-1	-	2	-	4	2	-2	4	0	-	8	-10	6	12	8	6	-12	10	-12	-16	-2	0	-4	6	6

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Quadratic twists for elliptic curve 4263g4

-4	-3	5	-7	29
68208bw3	12789f3	106575r3	609b3	123627e3

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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